On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals

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We develop general heterogeneous nonlocal diffusion models and investigate their connection to local diffusion models by taking a singular limit of focusing kernels. We reveal the link between the two groups of diffusion equations which include both spatial heterogeneity and anisotropy. In particular, we introduce the notion of deciding factors which single out a nonlocal diffusion model and typically consist of the total jump rate and the average jump length. In this framework, we also discuss the dependence of the profile of the steady state solutions on these deciding factors, thus shedding light on the preferential position of individuals.
Publisher
SPRINGER HEIDELBERG
Issue Date
2022-04
Language
English
Article Type
Article
Citation

JOURNAL OF MATHEMATICAL BIOLOGY, v.84, no.5

ISSN
0303-6812
DOI
10.1007/s00285-022-01738-y
URI
http://hdl.handle.net/10203/296371
Appears in Collection
MA-Journal Papers(저널논문)
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